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If the length of a rectangle is increased by 120%, and its width is decreased by 20%, what is the percentage change in the area of the rectangle? (rea=length*width)

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Answer:

The area of the rectangle is increased in 76 percent.

Explanation:

The area of a rectangle (
A) is represented by the following formula:


A = w\cdot l

Where:


w - Width.


l - Length.

If length is increased by 120 %and width is decreased by 20 %, the percentage change in the area of the rectangle is: (
l = 2.2\cdot l_(o),
w = 0.8\cdot w_(o))


A = (2.2\cdot l_(o))\cdot (0.8\cdot w_(o))


A = (2.2)\cdot (0.8)\cdot w_(o)\cdot l_(o)


A = 1.76\cdot A_(o)

The area of the rectangle is increased in 76 percent.

User Bryce S
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